Question

(a) cosec x + cotx (1) cosect
7+1
1+ sin * then y is equal to
5. If 0<x<-, and if
1-Y 11-sinx
- tan
2
Na
tan
an at
NA
an
(6) corž + tan Ž (a) cod Ž tan Ž
1 - sin x
1 + sin
in equal to​

Answer 1

Answer:

the answer of it I s 1 this is a correct answer

Answer 2

on rationalising (multiplying above and below in RHS with (1+sinx)) above questions we get

(y + 1)/(y -1) = (1+sinx )/cosx

using corponendo and divideando

y = (1+ sinx + cosx ) / (1+ sinx - cosx )

we know that

sinx + cosx = sqrt2( sinx/sqrt2 + cosx/sqrt2)

1/sqrt 2= sinπ/4 = cosπ/4

so

sin(π/4 + x)

below

cos(π/4 + x)= sinx/sqrt2 - cosx/sqrt2

sqrt2(sinx/sqrt2 - cosx/sqrt2)= sinx - cosx

y = (1+ sqrt2sin(π/4 + x))/(1+sqrt2 cos(π/4 + x)